Titlebook: Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics; Barry C. Arnold,José María Sarabia Textbook 2018

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Majorization in ,,tened. Muirhead who dealt with . (i.e., vectors of nonnegative integers) already had identified the partial order defined in (.) (i.e., majorization). But he, when he needed to refer to it, merely called it “ordering.” Perhaps it took the insight of HLP to recognize that little of Muirhead ’s work n

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The Lorenz Order in the Space of Distribution Functions,he concept of majorization. The Lorenz curve, however, can be meaningfully used to compare arbitrary distributions rather than distributions concentrated on . points, as is the case with the majorization partial order. The Lorenz order can, thus, be thought of as a useful generalization of the major

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Inequality Measures,ecent papers about inequality do not clearly distinguish between sample and population statistics. A “distribution” for them might refer to some genuine random variable or to the sample distribution of a finite number of observations from some population.